F ind @ Dlim Ix16/ lim 1-cos 3x 9. 4-X lim (1-secx) lim CosO 9= (9 -) 2.

Q: b. Use your calculator's TRACE function to estimate the x-values of any vertical asymptotes.

A: using trace function we have drawn the graph of the function. 

Q: Find the area of the region between the curves y = x^3, y = -x, and y = 1. Round off to two decimal ...

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Q: Solve the differential equation of the following 1. (ke2v-u) du – 2e2v (e2v+ku) dv = 0  2. (x-3y+2...

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you wa...

Q: Is the series convergent or divergent? Justify the answer

A: Follow the procedure given below.

Q: 2. Distance from Pa Q, the Coordinate of the Midpoint and Slope of P (5, -7) and Q(3, 9).

A: since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: Find the surface area generated by revolving about the x-axis the curve y=2(15-x)^1/2, from x=0.59 t...

A: Area =integration of 2πg(x) √1+(g'(x)) 2 dx

Q: QUESTION 5 For the following function, find the value of (a) f(-3) and (b) f(5), if possible. x²- 3 ...

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Q: Edy 6. y24+ yi = 1, when x = 0, y = 4 dx

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Q: Problem 6. (The cross product project). The cross product for vectors in V is not associative, so so...

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Q: 2. Let b, = cos and cn = cos for all n e N such that n > 2. Determine whether the given series conve...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Using integration by parts, the integral Sx sec(2x) tan(2x) dx is equal to: Hsec(2) -inise(20) + tan...

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Q: 3. Let r be a root of x3 - 5x +7 = 0. In Q[r] express - 1- 7r + 2r2 a) 1+r + r2 | as a quadratic pol...

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Q: What causes oblique (slanted) asymptotes in rational functions and how do you find the equation for ...

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Q: The solution of the first order linear differential equation y' + ycotx %3D

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Q: Solve the ff first order DE using integration method, by inspection, or bernoulli's equation

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Q: Lesson 14 A. Find the derivative by implicit differentiation. Show your solution. 1. 2x 2y +5 2. x2 ...

A: Topic = Derivative As per guidelines , At  a time only one question with three sub-parts can be answ...

Q: 4. 3x2 dx + dy x3 - 8(y + 1) = 0 %3D y+1

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Q: siven X(z) = 2+ 6z-1 find x(1) of x[n] 4 2z-2+13z-3 O 1 O 0.5 O-1 O 1.5

A: In this question we have to find the value of x(1).

Q: Assuming that z is a differentiable function of x and y, use implicit differentiation to find from t...

A: ln(x2y) - eyz= tan-1z  ----(1)To Find: ∂z∂ySince z is a function of x and ySo we differentiate equat...

Q: -0.3t If C(t) = 18.5t e measures the 24 ng of a drug in a person's ml concentration, in 22 20- syste...

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Q: State where the power series is centered. ř (-1)"(x - 3)6n (6n)! n= 0

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Q: the integral S(x³ – 2x – 1)e-*+1dx is equal to:

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Q: What is the value of C when x=y=DO? 3/ = 2xy – x None of the choices 1 1/2 O -1/2 -1

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Q: dy 7. dx cos(x + y), when x = 0, y = %3D %3D 4

A: Follow the procedure given below.

Q: of a drug in a person's system t hours after the drug is administered, when does the drug reach it p...

A: Ct=49.3 t e-0.24t measures the concentration in ngml, of a drug in a person's systemt hours after th...

Q: Cavalieri's Principle states that if a family of parallel planes gives equal cross-sectional areas f...

A: We will use the  Cavalieri's principa to find the volume of the required surface.

Q: Find the difference between the maximum and minimum of the quantity p2q2/50, where p and q are two n...

A: Given:    p + q = 10    Let f = p2q2 / 50

Q: Given R(t) =4 cos ti + (1+ 3cost)j + 5sintk. Find B(t)

A: This is a problem of vector. By using concept of unit tangent vector we will solve B(t) vector at t=...

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: Suppose for a particular commodity, e=1.7 and that currently 50,000 units are selling for $12 each. ...

A: Solution is written in below steps.

Q: Q2) Find the distance between the line (y=x+4) and the center of the circle (y+x-4x-4y%34)

A: A detailed solution is given below.   (As per our guidelines, we have to solve only 1st question)

Q: find the difference quotient for: f(x)=5x - 2x2

A: The formula of difference quotient is given by  D=f(x+h)-f(x)h

Q: Show that the equation x" = 10 has at least one solution on the interval [1, 5

A: Find your answer below 

Q: Let U be the set of integers. Let A = {3,6}, B = {3, 8, 10, 12} and C = {6,8,10}. Perform the indica...

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Q: Analyze what solution you will use whether it is bernoulli's equation / solution by substitution / s...

A: Let's find. 

Q: Test for convergence or divergence, using one of the tests listed below. n(n + 2) O converges O dive...

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Q: x²-4 6. f(x) = si x # 2 x-2 5 a. Halla el Dominio b. Evalúe: 1) f (0) 2) f (-3) 3) f (2) si x = 2

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Q: Let f(x) = 7x- 13x-6, x2 1.5. Find the value of df 1 at the point x 234 = f(4). dx The value of dx (...

A: Given query is to find the the value of inverse function.

Q: 2x+3 (1) Find the domain of the function H(x) = x' - 4x (2) Solve the following (i) |10–3x|517 (ii) ...

A: Topic = Functions

Q: 1 i. g(x)= 3+9x? 1- 5 (Ans: (x+ x²)*. X + (x+ x -3 X + (x + x³ ) ³

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Q: 2x2-4x Use the function g(x) = x2-9 a. Use a calculator to graph g(x). Make sure you have a window t...

A: Given function, gx=2x2-4xx2-9 Formulas used: ddxxn=nxn-1ddxconstant=0Quotient rule,ddxfxgx=gxf'x-fxg...

Q: A roasted turkey is taken from an oven when its temperature has reached 183° Fahrenheit and is place...

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Q: (2x1+3x2 - x3 +3x4 + X5 = 176 | 3x1 + x2-4x3 + 3x4 - x5 = 0 X1 + X2 + 3x3 - 4x4 + 2x5 48 %D X1 + 2x2...

A: The given system,2x1+3x2-x3+3x4+x5=1763x1+x2-4x3+3x4-x5=0x1+x2+3x3-4x4+2x5=48x1+2x2-3x3+2x4-2x5=-482...

Q: (w - 3x+ 3) dw+ (3w +x + 9) dx= 0

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Q: 2. for the augmanted matrix

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Q: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) = ...

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Q: Convert the Cartesian coordinate (6, 1) to polar coordinates, 0 0. No decimal entries and answer ma...

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